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首页> 外文期刊>Physical review, C >Neutron-proton pairing and double-beta decay in the interacting boson model
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Neutron-proton pairing and double-beta decay in the interacting boson model

机译：中子质子配对和双β腐烂在互动玻色子模型中

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Background: The interacting boson model has been used extensively to calculate the matrix elements governing neutrinoless double-beta decay. Studies within other models-the shell model, the quasiparticle random-phase approximation, and nuclear energy-density functional theory-indicate that a good description of neutron-proton pairing is essential for accurate calculations of those matrix elements, even though the isotopes used in experiment have significantly more neutrons than protons. The usual interacting boson model is based only on like-particle pairs, however, and the extent to which it captures neutron-proton pairing is not clear.& para;& para;Purpose: To determine whether neutron-proton pairing should be explicitly included as neutron-proton bosons in interacting-boson-model calculations of neutrinoless double-beta decay matrix elements. In this paper we restrict ourselves to nuclei in the lower half of the p f shell, where exact shell model calculations are possible.& para;& para;Method: An isospin-invariant version of the nucleon-pair shell model is applied to carry out shell-model calculations in a large space and in a collective subspace, and to define effective operators in the latter. A democratic mapping is then used to define corresponding boson operators for the interacting boson model, with and without an isoscalar neutron-proton pair boson.& para;& para;Results: Interacting-boson-model calculations with and without the isoscalar boson are carried out for nuclei near the beginning of the p f shell, with a realistic shell-model Hamiltonian and neutrinoless double-beta-decay operator as the starting point. Energy spectra and double-beta matrix elements are compared to those obtained in the underlying shell model.& para;& para;Conclusions: The isoscalar boson is not important for energy spectra but improves the results for the double-beta matrix elements. To be useful at the level of precision we need, the mapping procedure must be further developed to better determine the dependence of the boson Hamiltonian and decay operator on particle number and isospin, and extended to heavier nuclei. The benefits provided by the isoscalar boson in the nuclei examined here, however, suggest that through an appropriate combination of mappings and fitting, it would make interacting-boson-model matrix elements more accurate in the heavier nuclei used in experiments.
机译：背景：相互作用玻色子模型已被广泛用于计算控制无中子双β衰变的矩阵元素。在其他模型（壳层模型、准粒子随机相近似和核能密度泛函理论）中进行的研究表明，对中子-质子配对的良好描述对于精确计算这些基体元素至关重要，尽管实验中使用的同位素的中子显著多于质子。然而，通常的相互作用玻色子模型仅基于类似粒子对，它捕获中子-质子对的程度尚不清楚第&对位；目的：确定在无中微子双β衰变矩阵元的相互作用玻色子模型计算中，中子-质子配对是否应明确包括为中子-质子玻色子。在本文中，我们将自己局限于p-f壳层下半部分的核，在这里，精确的壳层模型计算是可能的第&对位；方法：采用同位旋不变的核子对壳模型，在大空间和集体子空间中进行壳模型计算，并在集体子空间中定义有效算子。然后用一个民主映射来定义相互作用玻色子模型中相应的玻色子算符，无论有无等标量中子-质子对玻色子第&对位；结果：以真实壳层模型哈密顿量和无中微子双β衰变算符为出发点，对p-f壳层开始附近的原子核进行了有无等标量玻色子的相互作用玻色子模型计算。将得到的能量谱与双壳模型中的能量谱进行了比较第&对位；结论：等标量玻色子对能谱不重要，但改善了双β矩阵元的结果。为了在我们需要的精度水平上有用，必须进一步发展映射程序，以更好地确定玻色子哈密顿量和衰变算符对粒子数和同位旋的依赖，并将其扩展到更重的核。然而，在本文研究的原子核中，等标量玻色子所提供的好处表明，通过适当的映射和拟合组合，它将使相互作用玻色子模型矩阵元素在实验中使用的较重原子核中更加精确。

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  • 来源
    《Physical review, C》 |2017年第6期|共15页
  • 作者

    Van Isacker P.; Engel J.; Nomura K.;

  • 作者单位

    CEA DRF CNRS Grand Accelerateur Natl Ions Lourds IN2P3 Bvd Henri Becquerel F-14076 Caen France;

    Univ N Carolina Dept Phys &

    Astron Chapel Hill NC 27516 USA;

    CEA DRF CNRS Grand Accelerateur Natl Ions Lourds IN2P3 Bvd Henri Becquerel F-14076 Caen France;

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  • 正文语种 eng
  • 中图分类 原子核物理学、高能物理学;
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